We look at the division of 738437 by 9 
We're looking to find how many times 9 goes into 738437.

Step 1:
When dividing 7 by 9, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 9

Advancing to step 2:
9 goes into 73 8 times with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 72 away from 73, we end up with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 9

Advancing to step 3:
9 can be fit into 18 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 82.0
Subtract 18 from 18 to get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 9

Let's proceed to step 4:
When dividing 4 by 9, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 820.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 9

Step 5:
If we divide 43 by 9, we get 4 and a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 8204.0
The remainder is 7 after subtracting 36 from 43.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 9

Step 6:
When dividing 77 by 9, we get 8 with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 82048.0
Subtracting 72 from 77 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
The number 9 fits into 50 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 82048.5
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
9 can be fit into 50 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 82048.55
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 82048.55, and the remainder is 0.005.